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Muir J. Ч Of Men and Numbers: The Story of the Great Mathematicians
Muir J. Ч Of Men and Numbers: The Story of the Great Mathematicians

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Ќазвание: Of Men and Numbers: The Story of the Great Mathematicians

јвтор: Muir J.

јннотаци€:

Fascinating accounts of the lives and accomplishments of history's greatest mathematical minds, from Pythagoras to Georg Cantor. Muir also provides charming anecdotes about Descartes, Euler, Pascal, and many others, as well as accessible discussions of their contributions to mathematical thought. 30 diagrams. Bibliography.


язык: en

–убрика: ћатематика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1996

 оличество страниц: 256

ƒобавлена в каталог: 05.10.2014

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
Abel, Niels      207
Absolute differential geometry      164
Academy, Plato's      14
Acceleration      127Ч129
Achilles and the tortoise      120 228
Acropolis      10Ч11
Addition      2 164 167
Aleph      225 228
Alexander the Great      14Ч15
Alexandria      14Ч15 19 20 25 27
Algebra      7 11Ч12 65Ч67 69 70 84 177 204Ч205
Algebra in Babylonia      4
Algebra, development of      34
Algebra, fundamental theorem of      160 162Ч163
Algebra, invention      28
Algebraic equations      162 226Ч227
Algebraic numbers      226Ч227
Analysis      7 22 23 177 226 239 see
Analytic geometry      51Ч56 57 65Ч68 71 84 101 121Ч122 143Ч144
Anne, Queen      134
Antinomies      239Ч240
Apollo      17
Apollonius      80
Arabian mathematics      28 38
Arabic numbers      28
Archimedes      19Ч25 27 126Ч127 145 157 174 178 216
Aristotle      10 90
Arithmetic      see "Number theory"
Arithmetic continuum      219 233
Ars Magna      33Ч34 35 36 38
Aubrey, John      75
axes      51Ч52 121 163Ч164
Axiomatic method      8Ч9 16 168 220 221Ч223 240
Axiomatics      221Ч222
Axioms      8Ч9 16 166 168 191Ч192 194 197Ч198 219Ч220
Babylonian mathematics      4
Bartels, Johann Martin      159 187
Barton, Catherine      136
Beekman, Isaac      50Ч51 56
Benze, Johann      158 172
Berkeley, George      131Ч132 232
Bernoulli, Daniel      140 145
Bernoulli, Johannes      139
Bernoulli, Nicholas      140 141
Binomial theorem      28 107
Bolyai, Janos      220
Bolyai, Wolfgang      161 179
Boole, George      222
Brahe, Tycho      113
Bruno      77
Brunswick, Duke of      159Ч160 161 165 169Ч170 171 179
Caesar, Julius      25
Calculus      7 22Ч23 107 118Ч133 142Ч143 234
Cantor, Constantin      218
Cantor, Georg      176 217Ч240
Cantor, Georg Woldeman      217 218 219 237
Cantor, Maria Boehm      217Ч218
Cantor, Sophie      218
Cantor, Vally Guttmann      235
Cardano, Aldo      31 44 45Ч46
Cardano, Chiara      31 44 45
Cardano, Chiara Michina      30
Cardano, Fazio (father)      29 30
Cardano, Fazio (grandson)      44
Cardano, Giambatista      31 33 41Ч44 45
Cardano, Girolamo      26 27 29Ч46 48 94
Cardano, Lucia Bandarini      31 41
Catherine I      140
Catherine II (the Great)      138 153 154
Cauchy, Augustin      176 204 207 233
Causality      198Ч199 see
Cayley, Arthur      169
Charles I      72 105
Chevalier, Auguste      209 211 213 215
Christina, Queen of Sweden      75Ч76 93
Chronology of Ancient Kingdoms Amended      135
circle      65 83 84
Circle, area      3 22Ч23
Circle, general equation of      54 144
Circle, squaring      16 17
Clark, Mr.      106
Closure      165
Coates, Robert      96
complex numbers      160 163Ч164
Conduitt, John      136 137
Congruences, theory of      162
Conic sections      17 65 72 80Ч87 220
Conon      20
Continuum      219 230
coordinates      51Ч52 121 163Ч164
Copernicus, Nikolaus      113 200
Correspondence      67Ч69 133 228Ч229
Counting      1Ч2
Crelle's Journal      238
cube      11 16Ч17 225
Cubic equations      16 17 34Ч36 37 70
Cycloid      102Ч103
D'Alembert      153
da Vinci, Leonardo      29 82
Darwin, Charles      149
de Richelieu, Armand      79Ч80
de Roannez, Charlotte      99
de Roannez, Due      93 98Ч99 103
de Roberval, Gilles Personne      60 87
Decimals      12 231Ч232
Decline and Fall of the Roman Empire      27
Dedekind, Richard      176 220 235
Deduction      9Ч10 see
Deism      147Ч148
Delian oracle      16
Denbow, Carl      162
derivatives      127 233
Desargues, Gerard      80 83 84 104
Descartes' Rule of Signs      69
Descartes, Rene      28 47Ч76 80 84 87 88 89 91 92 98 101 121 134 144 178 185 216 223 229 233
Determinism      147Ч151 198Ч199
Deutsche Mathematicker-Vereinigung      238
Diagonal process      227Ч228
Differential geometry      172
Differentiating      127Ч130
Diophantine equations      37
Discourse on Method      61 71Ч72
Disquisitiones Arithmeticae      162 165
Distribution of errors      173Ч174
Division      2 5Ч6 164 168
Division by zero      126
Dositheus      20
Doubling the cube      16Ч17
e      226
Edward VI      41
Egyptian mathematics      1Ч4
Einstein, Albert      116 144 195Ч197 199 220 221 229 233 237
Eisenstein      178
Elements      15Ч16 79 see
Eliot, T.S.      99
Elizabeth of Bohemia      72
ellipse      55 83 84
Empiricism      147
Epicureans      16
Equations      34Ч38 65Ч66 69 70 215Ч216 226Ч227
Equations, algebraic      162 226Ч227
Equations, cubic      16 17 34Ч36 37 70
Equations, Diophantine      37
Equations, general      36Ч37 53Ч54 69Ч70 144
Equations, linear      16 34Ч35 37 53Ч54 65Ч66 70 121Ч122 144
Equations, nonalgebraic      226
Equations, quadratic      11Ч12 16 34Ч35 38 70 204
Equations, quartic      37
Equations, quintic      204 207
Equations, theory of      210
Eratosthenes      20
Euclid      14Ч19 79 84 166 168 169 185 191Ч192 193 194 196 200
Euclid Vindicated from All Defects      191
Eudoxus      15
Eugenius, Pope      27
Euler, Leonhard      138Ч156 176 201 219
Euler, Marguerite      138
Euler, Paul      138 139
Factorials      18
Fermat's last theorem      144Ч145
Fermat, Pierre      39 71 87 94 104 144
Ferreus, Scipio      35
Fibonacci series      220
Fibonacci, Leonardo      28
Flamsteed, John      117
Fluxions, Doctrine of      119 131Ч132 233
Formalism      197Ч198 221 240
Four-dimensional geometry      144 169 233
Fractions      5 225 231 235
Francina      74Ч75
Franklin, Benjamin      147
Frederick II (the Great)      138 142 147 152Ч153
Frederick William III      171
French Academy of Science      139 206 207 209 211 212
Functions      124 131
Fundamentals of Mathematics      162
Galen      200
Galileo      50 61 64 77 105 113 122 234
Galois, Adelaide-Marie Demante      202
Galois, Alfred      202 214 215
Galois, Evariste      202Ч216
Galois, Nicholas Gabriel      202 206Ч207
Gauss, Carl Friedrich      19 157Ч183 187 194 200 201 215 220 230
Gauss, Dorothea Benze      157 161 180Ч181 183
Gauss, Dorothea Warnecke      157
Gauss, Eugene      172 175 180
Gauss, Friederica Wilhelmine Waldeck      172 174
Gauss, Gebhard      157Ч158 159 172
Gauss, Johann Georg Heinrich      157 159Ч160 180
Gauss, Johanna      178 179
Gauss, Johanna Osthoff      170 172
Gauss, Joseph      170 180
Gauss, Therese      172 181
Gauss, Wilhelm      172 180
Gaussian curve      173
General equations      36Ч37 53Ч54 69Ч70 144
Geometry      7 84 167 177 191Ч196
Geometry, analytic      51Ч56 57 65Ч68 71 84 101 121Ч122 143Ч144
Geometry, development of      34
Geometry, differential      164
Geometry, Egyptian      2Ч4
Geometry, four dimensional      144 169 233
Geometry, Greek      8Ч12 25
Geometry, n-dimensional      144 168Ч169
Geometry, non-Euclidean      160 166 169 191Ч195 196Ч197 198 199Ч200 201 219Ч220
Geometry, projective      80Ч87 195
George III      202
Gibbon, Edward      27
Goedel theorem      240
Goedel, Kurt      240
Goedicke, Victor      162
Goldbach conjecture      8
graphs      51Ч52 65Ч68 121 128Ч129 163Ч164
Gravitation, theory of      170 110Ч111 114 194 196
Greco-Latin Squares      155Ч156
Greek mathematics      4Ч25
Grimm brothers      179
Grimm, Peter      154
Group theory      216
Gsell, Catharina      141
Guigniault      210
Halley, Edmund      114 115 134Ч135
Hamilton, John (Archbishop of Scotland)      40
Hanging Gardens      4
Harriot, Thomas      69
Harvey, William      62Ч63
Height of an equation      227
Heisenberg, Werner      150
Henry VII      77
Hermite, Charles      215
Hiero II      20
Hilbert, David      220 240
Hippocrates      15
Hobbes, Thomas      62
Hooke, Robert      115 118
Hugo, Victor      203
Hume, David      149
Hydrostatics, First law of      20Ч21
Hyperbola      55 83
Imaginary geometry      see "Non-Euclidean geometry"
imaginary numbers      5 38 70 71 164 210 220 235 see
Imaginary roots      38 163
Indian mathematics      27Ч28 38
Infeld, Leopold      215
Infinite processes      23 234 240 see
Infinite sets      224Ч228 234 239
Infinitesimals      126Ч127 129Ч133 176 232Ч233
infinity      13 19 23Ч24 68Ч69 84 120 132Ч133 167 176 229Ч234 235Ч236 239Ч240
Institutiones Calculi Differentialis      142
INTEGER      5 12 71 224Ч225 227 235 see
integrating      127Ч130
Introductio in Analysis infinitorum      142
Intuition      197Ч198 221 240
Invariants      84Ч87 195Ч196
Inverse square law      111 114 115
Irrational numbers      5 12 13 17 19 38 67 70 71 132 162Ч163 176 223 226 229Ч232 235 239
Irrational numbers, theory of      229Ч232 233 235
Irrational roots      162Ч163
Irrationalism      150Ч151 220
Jacobi, Karl      197 215
Jansen, Cornelis      88
Jansenism      88Ч90 92 97 98 99 100
Jefferson, Thomas      147
Justinian      14
Kepler, Johannes      113 114
Kronecker, Leopold      12 215 219 235Ч238
Kummer, Ernst      219
La Fontaine, Jean      93
Lagrange, Joseph-Louis      154Ч155 195 204
Laplace, Pierre      177
Lavoisier, Antoine      70
Laws of Thought, The      222Ч223
Le Monde      61Ч62
Least squares      173
Legendre, Adrien      204
Lettres provinciates      100 101
Light      107 108
Limits      23 132 232 233 234
Line      10 12 51Ч56 65Ч66 70 196 229
Line, general equation of      53Ч54 70 144
Linear equations      16 34Ч35 37 53Ч54 65Ч66 70 121Ч122 144
Liouville, Jacques      215 226
Lobatchevsky, Alexander      186
Lobatchevsky, Alexei      186 188
Lobatchevsky, Nicholas      185Ч201 212 220 221
Lobatchevsky, Preskowja Ivanova      186
Locke, John      74 117 187
Logic      8Ч9 16 143 168 176 192 220 221Ч223 240
Louis Philippe      210 211
Louis XIII      72
Louis XIV      138
Louis XVIII      203
Ludolphian number      23
Madison, James      202
Marcellus      24
Maupertuis      152
Maxwell, James Clerk      5Ч6
Mayans      3
Menaechmus      15
Mersenne, Marin      60
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